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<div class="subTitle">org.apache.commons.math3.fitting.leastsquares</div>
<h2 title="Enum GaussNewtonOptimizer.Decomposition" class="title">Enum GaussNewtonOptimizer.Decomposition</h2>
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<li><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Enum.html?is-external=true" title="class or interface in java.lang">java.lang.Enum</a><<a href="../../../../../../org/apache/commons/math3/fitting/leastsquares/GaussNewtonOptimizer.Decomposition.html" title="enum in org.apache.commons.math3.fitting.leastsquares">GaussNewtonOptimizer.Decomposition</a>></li>
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<dd><a href="http://docs.oracle.com/javase/7/docs/api/java/io/Serializable.html?is-external=true" title="class or interface in java.io">Serializable</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Comparable.html?is-external=true" title="class or interface in java.lang">Comparable</a><<a href="../../../../../../org/apache/commons/math3/fitting/leastsquares/GaussNewtonOptimizer.Decomposition.html" title="enum in org.apache.commons.math3.fitting.leastsquares">GaussNewtonOptimizer.Decomposition</a>></dd>
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<dt>Enclosing class:</dt>
<dd><a href="../../../../../../org/apache/commons/math3/fitting/leastsquares/GaussNewtonOptimizer.html" title="class in org.apache.commons.math3.fitting.leastsquares">GaussNewtonOptimizer</a></dd>
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<pre>public static enum <span class="strong">GaussNewtonOptimizer.Decomposition</span>
extends <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Enum.html?is-external=true" title="class or interface in java.lang">Enum</a><<a href="../../../../../../org/apache/commons/math3/fitting/leastsquares/GaussNewtonOptimizer.Decomposition.html" title="enum in org.apache.commons.math3.fitting.leastsquares">GaussNewtonOptimizer.Decomposition</a>></pre>
<div class="block">The decomposition algorithm to use to solve the normal equations.</div>
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<h3>Enum Constant Summary</h3>
<table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Enum Constant Summary table, listing enum constants, and an explanation">
<caption><span>Enum Constants</span><span class="tabEnd"> </span></caption>
<tr>
<th class="colOne" scope="col">Enum Constant and Description</th>
</tr>
<tr class="altColor">
<td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/fitting/leastsquares/GaussNewtonOptimizer.Decomposition.html#CHOLESKY">CHOLESKY</a></strong></code>
<div class="block">Solve by forming the normal equations (J<sup>T</sup>Jx=J<sup>T</sup>r) and
using the <a href="../../../../../../org/apache/commons/math3/linear/CholeskyDecomposition.html" title="class in org.apache.commons.math3.linear"><code>CholeskyDecomposition</code></a>.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/fitting/leastsquares/GaussNewtonOptimizer.Decomposition.html#LU">LU</a></strong></code>
<div class="block">Solve by forming the normal equations (J<sup>T</sup>Jx=J<sup>T</sup>r) and
using the <a href="../../../../../../org/apache/commons/math3/linear/LUDecomposition.html" title="class in org.apache.commons.math3.linear"><code>LUDecomposition</code></a>.</div>
</td>
</tr>
<tr class="altColor">
<td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/fitting/leastsquares/GaussNewtonOptimizer.Decomposition.html#QR">QR</a></strong></code>
<div class="block">Solve the linear least squares problem (Jx=r) using the <a href="../../../../../../org/apache/commons/math3/linear/QRDecomposition.html" title="class in org.apache.commons.math3.linear"><code>QRDecomposition</code></a>.</div>
</td>
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<tr class="rowColor">
<td class="colOne"><code><strong><a href="../../../../../../org/apache/commons/math3/fitting/leastsquares/GaussNewtonOptimizer.Decomposition.html#SVD">SVD</a></strong></code>
<div class="block">Solve the linear least squares problem using the <a href="../../../../../../org/apache/commons/math3/linear/SingularValueDecomposition.html" title="class in org.apache.commons.math3.linear"><code>SingularValueDecomposition</code></a>.</div>
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<th class="colFirst" scope="col">Modifier and Type</th>
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<td class="colFirst"><code>protected abstract <a href="../../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/fitting/leastsquares/GaussNewtonOptimizer.Decomposition.html#solve(org.apache.commons.math3.linear.RealMatrix,%20org.apache.commons.math3.linear.RealVector)">solve</a></strong>(<a href="../../../../../../org/apache/commons/math3/linear/RealMatrix.html" title="interface in org.apache.commons.math3.linear">RealMatrix</a> jacobian,
<a href="../../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</a> residuals)</code>
<div class="block">Solve the linear least squares problem Jx=r.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static <a href="../../../../../../org/apache/commons/math3/fitting/leastsquares/GaussNewtonOptimizer.Decomposition.html" title="enum in org.apache.commons.math3.fitting.leastsquares">GaussNewtonOptimizer.Decomposition</a></code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/fitting/leastsquares/GaussNewtonOptimizer.Decomposition.html#valueOf(java.lang.String)">valueOf</a></strong>(<a href="http://docs.oracle.com/javase/7/docs/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a> name)</code>
<div class="block">Returns the enum constant of this type with the specified name.</div>
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<tr class="altColor">
<td class="colFirst"><code>static <a href="../../../../../../org/apache/commons/math3/fitting/leastsquares/GaussNewtonOptimizer.Decomposition.html" title="enum in org.apache.commons.math3.fitting.leastsquares">GaussNewtonOptimizer.Decomposition</a>[]</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/fitting/leastsquares/GaussNewtonOptimizer.Decomposition.html#values()">values</a></strong>()</code>
<div class="block">Returns an array containing the constants of this enum type, in
the order they are declared.</div>
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<h3>Enum Constant Detail</h3>
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<pre>public static final <a href="../../../../../../org/apache/commons/math3/fitting/leastsquares/GaussNewtonOptimizer.Decomposition.html" title="enum in org.apache.commons.math3.fitting.leastsquares">GaussNewtonOptimizer.Decomposition</a> LU</pre>
<div class="block">Solve by forming the normal equations (J<sup>T</sup>Jx=J<sup>T</sup>r) and
using the <a href="../../../../../../org/apache/commons/math3/linear/LUDecomposition.html" title="class in org.apache.commons.math3.linear"><code>LUDecomposition</code></a>.
<p> Theoretically this method takes mn<sup>2</sup>/2 operations to compute the
normal matrix and n<sup>3</sup>/3 operations (m > n) to solve the system using
the LU decomposition. </p></div>
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<h4>QR</h4>
<pre>public static final <a href="../../../../../../org/apache/commons/math3/fitting/leastsquares/GaussNewtonOptimizer.Decomposition.html" title="enum in org.apache.commons.math3.fitting.leastsquares">GaussNewtonOptimizer.Decomposition</a> QR</pre>
<div class="block">Solve the linear least squares problem (Jx=r) using the <a href="../../../../../../org/apache/commons/math3/linear/QRDecomposition.html" title="class in org.apache.commons.math3.linear"><code>QRDecomposition</code></a>.
<p> Theoretically this method takes mn<sup>2</sup> - n<sup>3</sup>/3 operations
(m > n) and has better numerical accuracy than any method that forms the normal
equations. </p></div>
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<h4>CHOLESKY</h4>
<pre>public static final <a href="../../../../../../org/apache/commons/math3/fitting/leastsquares/GaussNewtonOptimizer.Decomposition.html" title="enum in org.apache.commons.math3.fitting.leastsquares">GaussNewtonOptimizer.Decomposition</a> CHOLESKY</pre>
<div class="block">Solve by forming the normal equations (J<sup>T</sup>Jx=J<sup>T</sup>r) and
using the <a href="../../../../../../org/apache/commons/math3/linear/CholeskyDecomposition.html" title="class in org.apache.commons.math3.linear"><code>CholeskyDecomposition</code></a>.
<p> Theoretically this method takes mn<sup>2</sup>/2 operations to compute the
normal matrix and n<sup>3</sup>/6 operations (m > n) to solve the system using
the Cholesky decomposition. </p></div>
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<a name="SVD">
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<h4>SVD</h4>
<pre>public static final <a href="../../../../../../org/apache/commons/math3/fitting/leastsquares/GaussNewtonOptimizer.Decomposition.html" title="enum in org.apache.commons.math3.fitting.leastsquares">GaussNewtonOptimizer.Decomposition</a> SVD</pre>
<div class="block">Solve the linear least squares problem using the <a href="../../../../../../org/apache/commons/math3/linear/SingularValueDecomposition.html" title="class in org.apache.commons.math3.linear"><code>SingularValueDecomposition</code></a>.
<p> This method is slower, but can provide a solution for rank deficient and
nearly singular systems.</div>
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<h3>Method Detail</h3>
<a name="values()">
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<h4>values</h4>
<pre>public static <a href="../../../../../../org/apache/commons/math3/fitting/leastsquares/GaussNewtonOptimizer.Decomposition.html" title="enum in org.apache.commons.math3.fitting.leastsquares">GaussNewtonOptimizer.Decomposition</a>[] values()</pre>
<div class="block">Returns an array containing the constants of this enum type, in
the order they are declared. This method may be used to iterate
over the constants as follows:
<pre>
for (GaussNewtonOptimizer.Decomposition c : GaussNewtonOptimizer.Decomposition.values())
System.out.println(c);
</pre></div>
<dl><dt><span class="strong">Returns:</span></dt><dd>an array containing the constants of this enum type, in the order they are declared</dd></dl>
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<h4>valueOf</h4>
<pre>public static <a href="../../../../../../org/apache/commons/math3/fitting/leastsquares/GaussNewtonOptimizer.Decomposition.html" title="enum in org.apache.commons.math3.fitting.leastsquares">GaussNewtonOptimizer.Decomposition</a> valueOf(<a href="http://docs.oracle.com/javase/7/docs/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a> name)</pre>
<div class="block">Returns the enum constant of this type with the specified name.
The string must match <i>exactly</i> an identifier used to declare an
enum constant in this type. (Extraneous whitespace characters are
not permitted.)</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>name</code> - the name of the enum constant to be returned.</dd>
<dt><span class="strong">Returns:</span></dt><dd>the enum constant with the specified name</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</a></code> - if this enum type has no constant with the specified name</dd>
<dd><code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/NullPointerException.html?is-external=true" title="class or interface in java.lang">NullPointerException</a></code> - if the argument is null</dd></dl>
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<h4>solve</h4>
<pre>protected abstract <a href="../../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</a> solve(<a href="../../../../../../org/apache/commons/math3/linear/RealMatrix.html" title="interface in org.apache.commons.math3.linear">RealMatrix</a> jacobian,
<a href="../../../../../../org/apache/commons/math3/linear/RealVector.html" title="class in org.apache.commons.math3.linear">RealVector</a> residuals)</pre>
<div class="block">Solve the linear least squares problem Jx=r.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>jacobian</code> - the Jacobian matrix, J. the number of rows >= the number or
columns.</dd><dd><code>residuals</code> - the computed residuals, r.</dd>
<dt><span class="strong">Returns:</span></dt><dd>the solution x, to the linear least squares problem Jx=r.</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/ConvergenceException.html" title="class in org.apache.commons.math3.exception">ConvergenceException</a></code> - if the matrix properties (e.g. singular) do not
permit a solution.</dd></dl>
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